{"title":"Gauss–Bonnet corrections to complexity growth with a probe string","authors":"Wen-Bin Chang","doi":"10.1140/epjp/s13360-026-08374-1","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the effect of Gauss–Bonnet (GB) corrections on holographic complexity growth within the framework of the Complexity=Action (CA) conjecture. By introducing a probe string into a GB <i>AdS</i> black brane background, we analyze the time derivative of the Nambu-Goto (NG) action as the holographic dual to complexity growth. Our results indicate that the complexity growth is maximized for a stationary string and is suppressed by its motion. At fixed temperature, the stationary string complexity growth is independent of the GB coupling, whereas that of moving strings is suppressed by stronger GB corrections. Finally, the growth rate is shown to increase linearly with temperature, confirming that higher temperatures systematically drive the complexity growth.\n</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"141 10","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2026-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-026-08374-1","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
We investigate the effect of Gauss–Bonnet (GB) corrections on holographic complexity growth within the framework of the Complexity=Action (CA) conjecture. By introducing a probe string into a GB AdS black brane background, we analyze the time derivative of the Nambu-Goto (NG) action as the holographic dual to complexity growth. Our results indicate that the complexity growth is maximized for a stationary string and is suppressed by its motion. At fixed temperature, the stationary string complexity growth is independent of the GB coupling, whereas that of moving strings is suppressed by stronger GB corrections. Finally, the growth rate is shown to increase linearly with temperature, confirming that higher temperatures systematically drive the complexity growth.
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